Multiplying Polynomials using the Distributive Property - Process & Examples
Read this topicExplanations 3
- (Video) Multiplying Polynomials Using the Distributive Property by ProfRobBob This video by ProfRobBob explains polynomial multiplication with the distributive property. Summary…
By Stefan Cuevas, Naomi Burgess, Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K, Dani
- Earlier, we saw how to multiply binomials using FOIL and using tables. Distributing Over Polynomials Any two polynomials can be multiplied with the distributive property. The di…
By Jonathan Heller, Dani, Anusha Rahman
- Multiplying Polynomials We've seen how to use the distributive property to multiply a monomial by a binomial or polynomial. First, we'll look at how to multiply a binomial by a …
By Anusha Rahman
Problems 24
- Simplify (2x+1)(x2+2x+3)(2x+1)(x^2 + 2x + 3)(2x+1)(x2+2x+3).
- Expand (x+1)(x2+2x+1)(x+1)(x^2 + 2x + 1)(x+1)(x2+2x+1).
- Expand the product PQPQPQ, where P=x+1P = x+1P=x+1 and Q=x2+10x−1Q = x^2 + 10x - 1Q=x2+10x−1.
- (x+2)3−(x3+2)(x+2)^3 - (x^3 + 2)(x+2)3−(x3+2) is a nonzero polynomial. What is its degree?
- (x+2)3−(x3+2)(x+2)^3 - (x^3 + 2)(x+2)3−(x3+2) is a nonzero polynomial. What is its leading coefficient?
- How many terms will the simplified form of (x+2)(x2−2x+1)(x + 2)(x^2 - 2x + 1)(x+2)(x2−2x+1) have?
- What is (x−2)3(x - 2)^3(x−2)3? (Hint: (x−2)3=(x−2)(x−2)2(x - 2)^3 = (x - 2)(x - 2)^2(x−2)3=(x−2)(x−2)2)
- Which of the following is not a step in simplifying (x−3)(3x2−x+1)(x - 3)(3x^2 - x + 1)(x−3)(3x2−x+1)?
- Which of the following is not a good technique to use when multiplying a binomial by a trinomial?
- What type of polynomial is (3x+2)(x2+2x+3)(3x + 2)(x^2 + 2x + 3)(3x+2)(x2+2x+3) when simplified?
- Simplify (2x2−3x+1)(4x2+5x+3)(2x^2 - 3x + 1)(4x^2 + 5x + 3)(2x2−3x+1)(4x2+5x+3) using distribution.
- Which of the following is not equal to 41×3241 \times 3241×32?
- Simplify (x+3)(−2x−4)(3x+1)(x + 3)(-2x - 4)(3x + 1)(x+3)(−2x−4)(3x+1) using distribution.
- What is the degree of following expression when simplified? (2x2+3)(x3−4x+1)(2x^2 + 3)(x^3 - 4x + 1)(2x2+3)(x3−4x+1)
- Which of the following is not a way to distribute the multiplication of (3x−2)(−x3−2x2+x)(3x - 2)(-x^3 - 2x^2 + x)(3x−2)(−x3−2x2+x)?
- Simplify (x+1)(x2−2x+1)(x + 1)(x^2 - 2x + 1)(x+1)(x2−2x+1) with distribution.
- Simplify (ab+b2)(2a2−ab+3b2)(ab + b^2)(2a^2 - ab + 3b^2)(ab+b2)(2a2−ab+3b2) using distribution.
- Which of the following is not a step in simplifying (4x4−4x3x2)(x2−x+1)(\sqrt{4x^4} - 4\frac{x^3}{x^2})(x^2 - \sqrt{x} + 1)(4x4−4x2x3)(x2−x+1) using distribution? Note: x>0x …
- What is the volume of a cube with side length 2x+22x + 22x+2?
- Which of the following is not equal to (2x−3)(3x2+x+1)(2x - 3)(3x^2 + x + 1)(2x−3)(3x2+x+1)?
- Simplify (3x5−4x4)(2x3−x2+x)(3x^5 - 4x^4)(2x^3 - x^2 + x)(3x5−4x4)(2x3−x2+x).
- Simplify the following expression: (3x+4)3(3x+4)^3(3x+4)3
- How many choices of real constants a,c,da,c,da,c,d are there such that the polynomial x3+9x2+17x+74x^3 + 9 x^2 + 17 x + 74x3+9x2+17x+74 can be written in the form (x2+ax+1)(x+c)…
- Simplify the following expression: (3x+1)×(8x2+x+5)(3x+1)\times(8x^{2}+x+5)(3x+1)×(8x2+x+5)